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Finding the Fourth Proportional to 100,298.64, 150,462.45 and 53,526

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Solution

The fourth proportional to 100,298.64, 150,462.45 and 53,526 is: 80,296.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,298.64 : 150,462.45 = 53,526 : x
  2. Step 2: Convert to fraction form
    100,298.64/150,462.45 = 53,526/x
  3. Step 3: Cross multiply
    100,298.64x = 150,462.45 × 53,526
  4. Step 4: Simplify right side
    100,298.64x = 8,053,653,098.70
  5. Step 5: Solve for x
    x = 8,053,653,098.70/100,298.64
  6. Step 6: Final answer
    x = 80,296.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.